# How do you solve 10+ 5x = 110?

Mar 13, 2018

$10 + 5 x = 110$
$5 x + 10 - 10 = 110 - 10$
$5 x = 100$
$\frac{5 x}{5} = \frac{100}{5}$
$x = 20$

Mar 13, 2018

$x = 20$

#### Explanation:

First subtract 10 from both sides.
$5 x = 100$
Then, divide both sides by 5
$x = 20$

Mar 13, 2018

The trick is to get x by itself by moving the other numbers around... That way you find that x=20.

#### Explanation:

In order to get our solution, we will work this in two steps:

1. Move all terms, other than x and its coefficient, to the right-hand side
2. Divide both sides by x's coefficient to get x alone

Step 1:
For this, we will subtract 10 from both sides. This will remove the 10 from the left hand side, and remove the same amount from the right hand side.

$\cancel{10} + 5 x - \cancel{10} = 110 - 10 \Rightarrow 5 x = 100$

Step 2:
Now that we've moved everything else to the right hand side, we can divide both sides by x's coefficient. In this case, we will divide by 5:

$\frac{\cancel{5} x}{\cancel{5}} = \frac{100}{5} \Rightarrow x = \frac{100}{5}$

Now we solve the division and get our answer:
$x = \frac{100}{5} \Rightarrow \textcolor{red}{x = 20}$

Mar 13, 2018

$x = 20$

#### Explanation:

Isolate the $x$ term to one side so that we can solve for it:

Subtract 10 from both sides:
$10 + 5 x = 110$
$\textcolor{b l u e}{\text{-10 " " " " }}$ $\textcolor{b l u e}{\text{-10}}$
$- - - - - -$
$5 x = 100$

Now divide by $5$ to isolate $x$ by itself:
$\frac{\cancel{5} x}{\cancel{5}} = \frac{100}{5}$
$x = 20$